Thermodynamics and Statistical Physics MCQs Question and Answer in Engineering Physics

A. 2k_B ln N

B. 3k_B ln N

C. Nk_B ln 2

D. Nk_B ln 3

A. $$T < \frac{{{\lambda ^2}}}{{2\pi m{k_B}}}{\left[ {\frac{N}{{V\xi \left( {\frac{3}{2}} \right)}}} \right]^{\frac{3}{2}}}$$

B. $$T < \frac{{{\lambda ^2}}}{{2\pi m{k_B}}}{\left[ {\frac{V}{{N\xi \left( {\frac{3}{2}} \right)}}} \right]^{\frac{2}{3}}}$$

C. $$T < \frac{{{\lambda ^2}}}{{2\pi m{k_B}}}{\left[ {\frac{N}{{V\xi \left( {\frac{3}{2}} \right)}}} \right]^{\frac{1}{2}}}$$

D. $$T < \frac{{{\lambda ^2}}}{{2\pi m{k_B}}}{\left[ {\frac{V}{{N\xi \left( {\frac{3}{2}} \right)}}} \right]^{\frac{1}{2}}}$$

A. 10⁴ Pa

B. 10⁵ Pa

C. 10⁸ Pa

D. 10¹⁰ Pa

A. a van der Waal's gas

B. an ideal Fermi gas

C. an ideal Bose gas

D. an ideal inert gas

A. ¹H₁

B. ⁴He₂

C. ²³H₁₁

D. ⁴⁰H₁₉

A. $$\frac{n}{{{T^{\frac{1}{2}}}}} \ll 1$$

B. $$\frac{n}{{{T^{\frac{3}{2}}}}} \ll 1$$

C. $$\frac{n}{{{T^{\frac{3}{2}}}}} \gg 1$$

D. $$\frac{n}{{{T^{\frac{1}{2}}}}}$$ and $$\frac{n}{{{T^{\frac{3}{2}}}}}$$ can have any value

A. diverges and its entropy remains the same

B. diverges and its entropy has finite discontinuity

C. remains unchanged and its entropy has finite discontinuity

D. has finite discontinuity and its entropy diverges

A. $$\frac{{\left( {N' + n} \right)!}}{{n!N!}}$$

B. $$\frac{{N!}}{{n!\left( {N' + n} \right)!}}\frac{{N!}}{{n!\left( {N' + n} \right)!}}$$

C. $$\frac{{N!}}{{n!\left( {N' - n} \right)!}}$$

D. $$\frac{{N!}}{{n!\left( {N' - n} \right)!}}\frac{{N!}}{{n!\left( {N' - n} \right)!}}$$

A. Its energy and the number of photons both increase 8 times

B. Its energy increases 8 times and the number of photons increase 16 times

C. Its energy increases 16 times and the number of photons increase 8 times

D. Its energy and the number of photons both increase 16 times

A. 487

B. 470

C. 467

D. 417